Answer: (a) ([tex]x_{2},y_{2}[/tex]) = (3,2)
(b) ([tex]x_{2},y_{2}[/tex]) = (19,-7)
Step-by-step explanation: Midpoint of a segment is halfway between 2 endpoints. It is calculated using the formulas:
[tex]x_{m}=\frac{x_{1}+x_{2}}{2}[/tex]
[tex]y_{m}=\frac{y_{1}+y_{2}}{2}[/tex]
Isolating [tex]x_{2}[/tex]:
[tex]2x_{m}=x_{1}+x_{2}[/tex]
[tex]x_{2}=2x_{m}-x_{1}[/tex]
And [tex]y_{2}[/tex]:
[tex]2y_{m}=y_{1}+y_{2}[/tex]
[tex]y_{2}=2y_{m}-y_{1}[/tex]
(a) Replacing values and calculating [tex]x_{2}[/tex]:
[tex]x_{2}=(2*2)-1[/tex]
[tex]x_{2}=3[/tex]
Calculating [tex]y_{2}[/tex]:
[tex]y_{2}=[2*(-1)]-(-4)[/tex]
[tex]y_{2}=2[/tex]
[tex](x_{2},y_{2})=(3,2)[/tex]
(b) [tex]x_{2}=(2*5)-(-9)[/tex]
[tex]x_{2}=19[/tex]
[tex]y_{2}=(2*6)-19[/tex]
[tex]y_{2}[/tex] = -7
[tex](x_{2},y_{2})=(19,-7)[/tex]
Answer:
D is the Right answer got it right on test and teacher said it was right
Step-by-step explanation:
Ym
The Theodore Teddy Bear Company can pack 48 medium size bears in a carton. They received an order for 500 medium bears from the Canadian Traveling Carnival. Estimate the number of cartons needed to ship the order.
Answer:
11 cartons.
Step-by-step explanation:
Since only 48 bears can be fitted into 1 carton, we need to find how many cartons approximately 500 bears can fit in:
500/48 = 10.4167 cartons
We can't have 4/10ths of a carton. Makes no sense in the real world. Therefore, we need a total of 11 cartons to pack 500 bears, even if one box isn't full.
Rewrite in simplest terms: -9(-9y – 9y + 5) – y
Answer:
161y - 45
Step-by-step explanation:
3(4x-1) greater than or equal to 2(4-x)
Answer:
Greater than
Step-by-step explanation:
First, I solved the expressions.
3(4x-1)=12x-3
2(4-x)=8-2x
12x-3>8-2x
As we can see, 12x-3 is greater than 8-2x.
Step-by-step explanation:
12x - 3 (expand 3(4x-1))
8-2x (expand 2(4-x))
if you assume that x=1 then 12x-3 would be 12(1)-3 then it would be 9 for the first
for the second equation, 8-2x, it would be 8- 2(1) or 6
9>6 so, 3(4x-1) > 2(4-x)
Clear parentheses and combine like terms:
Answer:
2x - 6y + 16
3rd option
Step-by-step explanation:
Step 1: Write out expression
2(x - 3y + 8)
Step 2: Distribute
2x - 6y + 16
Since there is no other like terms to combine, that is our final answer.
how do I simplify 3(5+6h)
Answer:
33h
Step-by-step explanation:
first you distribute the three: 3 x 5 + 3 x 6h
then you multiply: 3 x 5 = 15 3 x 6h = 18h
then you add: 15 + 18h = 33h
(just add 15 and 18 then add h on the end)
Pls help ASAP just number 11 and show work
Answer:
Length of route that passes the mall= 11 miles
Length of route that passes the theater= 13 miles
Step-by-step explanation:
route to school that passes the mall (highlighted in red)
= (x +1) +(x +2)
= 2x +3
route to school that passes the theater (in yellow)
= (2x +1) +x
= 3x +1
Since the first is 2 miles shorter,
2x +3= 3x +1 -2
Simplify:
2x +3= 3x -1
Bring constants to 1 side, x terms to the other:
3x -2x= 3 +1
x= 4
Substitute x=4 to find the length of each route:
Length of the route that passes the mall
= 2x +3
= 2(4) +3
= 8 +3
= 11 miles
Length of route that passes the theater
= 3x +1
= 3(4) +1
= 12 +1
= 13 miles
Alternatively, length of route that passes the theater
= 11 +2= 13 miles since it is 2 miles longer than that which passes the mall.
The pinata weighs 11/4 pounds without candy.He adds 8bags that weighs 3/8,3/8,1/2,1/2,1/2,3/4,3,11/4 how much will the pinata weigh when it is filled with the eight bags of candy
Answer:
[tex]Weight = \frac{23}{2}[/tex]
Step-by-step explanation:
Given
Weight of Pinata = 11/4 lb
Weight of candies = 3/8, 3/8, 1/2 , 1/2, 1/2, 3/4, 3, 11/4
Required
Weight of Pinata when filled with candies
To solve this question, we simply need to add all weights together
First, we need to add up the weight of the candies
[tex]Candies = \frac{3}{8} + \frac{3}{8} + \frac{1}{2}+ \frac{1}{2}+ \frac{1}{2}+ \frac{3}{4} + 3 + \frac{11}{4}[/tex]
Take LCM
[tex]Candies = \frac{3 + 3 + 4 +4 + 4 + 6 + 24 + 22}{8}[/tex]
[tex]Candies = \frac{70}{8}[/tex]
Simplify:
[tex]Candies = \frac{35}{4}[/tex]
Next; Add the weight of the candies to the weight of pinata
[tex]Weight = Candies + Pinata[/tex]
[tex]Weight = \frac{35}{4} + \frac{11}{4}[/tex]
Take LCM
[tex]Weight = \frac{35 + 11}{4}[/tex]
[tex]Weight = \frac{46}{4}[/tex]
Simplify
[tex]Weight = \frac{23}{2}[/tex]
Hence, the weight of the Pinata after it is filled with candies is 23/2 lb
Answer: The ratio of candy to fruit in a pinatas is 1/2 pound to 3/4. if we fill two pinatas and use 4 pounds of candy. how many pounds of will we need? Explain?
Step-by-step explanation:hey I know this isn’t what we’re talking about but MrRoyal I really need you help for this please :(
Three houses A B and Clie on the same line on a map. House Blies exactly in the middle of house A and house C The point (3,6) on the
map represents house A and the point (-5-3) represents house B.
Find the coordinates of house Con the map
Answer:
(-13, -12)
Step-by-step explanation:
The midpoint (x,y) between two points ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) on the coordinate plane is given by:
[tex]x=\frac{x_1+x_2}{2};\\\\y=\frac{y_1+y_2}{2}[/tex]
Hence given that house A is at (3, 6) and house B is at (-5, -3). Since house B is placed at the middle of house A and house B, let the coordinates of house C be ([tex]x_2,y_2[/tex]). Hence:
[tex]-5=\frac{3+x_2}{2\\} \\3+x_2=-10\\\\x_2=-10-3\\\\x_2=-13[/tex]
[tex]-3=\frac{6+y_2}{2\\} \\6+y_2=-6\\\\y_2=-6-6\\\\y_2=-12[/tex]
Therefore house C is at (-13, -12)
How many grams NaCl would you use to make a 4M solution in 100ml
Answer:
Amount of NaCl = 23.376 gram
Step-by-step explanation:
Given:
Molarity = 4M
Volume of solution = 100 ml
Find:
Amount of NaCl
Computation:
Molar mass of Na = 22.99 g/mole
Molar mass of Cl = 35.45 g/mole
Molar mass of NaCl = 22.99 + 35.45
Molar mass of NaCl = 58.44 g/mole
Molarity = [moles of solute / volume of solute(ml)]1,000
4 = [moles of solute / 100]1000
Moles of solute = 0.4
moles of solute = Mass of solute / molar mass
0.4 = Amount of NaCl / 58.44
Amount of NaCl = 23.376 gram
What are real and distinct roots
Answer:
If the discriminant is greater than zero, this means that the quadratic equation has two real, distinct (different) roots. ... If the discriminant is equal to zero, this means that the quadratic equation has two real, identical roots.
Step-by-step explanation:
Esha's class recorded the outside temperature at 9:00 am. every day for two weeks. they make a line plot to show the data. how many marks should be above the 76 on the scale?
Answer:
Step-by-step explanation:
5
Which number completes the square to form a perfect square trinomial?
x2 +12x +
Answer:
36
Step-by-step explanation:
(x + 6)(x+6)
F.O.I.L.
x^2 +6x + 6x + 36
X^2 + 12x + 36
Answer:
36
Step-by-step explanation:
● x^2 + 12x
● 1 × x^2 + 2 × 1 × 6 × x
Notice that the third term is 6
So we will add 36 (6^2)
● x^2 + 12x + 36
● (x+6)^2
I really don't get it plz help
Answer:
Step-by-step explanation:
Change g(n) to y
y = 2n - 2
2y - 2 = n
2y = n + 2
y = (n + 2)/2
g^-1(n) = 1/2n + 1
solution is B
Find how long it takes a person to drive 94 miles on a highway if she merged into a highway at 1pm and drives nonstop with her cruise control set on 40mph
Answer:
2.35 hrs
If she merged the highway at 1 pm, then she'll leave the highway by 3:21 pm
Step-by-step explanation:
distance traveled = 94 miles
cruise speed = 40 mph
time taken = ?
time taken = distance/speed = 94/40 = 2.35 hours
2.35 hrs = 2 hrs + (0.35 x 60) = 2 hrs + 21 min
If she merged the highway at 1 pm, then she'll leave the highway by 3:21 pm
Given the following function: f(x) = 4x +7
Evaluate -3 • f(9) = ?
Answer:
-129
Step-by-step explanation:
f(x) = 4x +7
-3*f(9) = -3*(4*9 + 7) =-3*(36 + 7) =- 3* 43 =-129identify the base of the expression x^5
Answer:
Step-by-step explanation:
x·x·x·x·x=x^5
x multiplied 5 times
Translate into a verbal sentence q - (4+p)= 1/3q
Look at this diagram:
F
E
G
Which diagram shows AEFG rotated 30° counterclockwise about U?
Answer:
angle FG=EU
angle EU=FG
FG:EU
FE=GU
A line passing through which of the following pairs of coordinates represents a proportional relationship? A. (1, 3) and (2, 6) B. (1, 1) and (1, 3) C. (1, 2) and (2, 3) D. (1, 3) and (3, 6)
Answer:
Answer is A - (1, 3) and (2, 6)
Step-by-step explanation:
(1, 3) • 2
= (1 • 2, 3 • 2)
= (2, 6)
Ratio: 2/2, 6/2
Therefore, the answer is A.
Answer:
a
Step-by-step explanation:
The graph of 0.5x - 2y = 3 is shown on the grid.
Which ordered pair is in the solution set of 0.5x – 2y 23?
A(-2, 0.5)
B. (2.1)
C (2, -1)
D. (-2,-0.5)
Answer:
D
Step-by-step explanation:
Hope this helps
An error has been made in subtracting the two polynomials as shown in the student work. (6x2 – 4x – 5 ) – (3x2 – 7x + 2) = How do you correctly subtract the two polynomials? Identify: Terms: Coefficient of "x2 ":Coefficient of "x":
Answer:
3x^2 + 3x - 7
Step-by-step explanation:
Given:
(6x^2 – 4x – 5 ) – (3x^2 – 7x + 2)
The correct way of subtracting the polynomial is by changing the sign of each term of the second polynomial. Like this
= 6x^2 – 4x – 5 – 3x^2 + 7x - 2
Collect like terms
= 6x^2 - 3x^2 - 4x + 7x - 5 - 2
Simplify
= 3x^2 + 3x - 7
(6x^2 – 4x – 5 ) – (3x^2 – 7x + 2) = 3x^2 + 3x - 7
From the answer, the coefficient of x^2 is 3, coefficient of x is 3
10(-8f +1) – 8(6 f – 4)
Answer:
2(- 64f + 21)
Step-by-step explanation:
10(-8f+1)-8(6f-4)
-80f+10-48f+32
-80f-48f+10+32
-128f+42
hope it helps!
-(-9.8f+7) please help
Answer:
[tex] \frac{7}{5} (7f - 5)[/tex]
Answer:
-9.8f - 7
Explanation:
You distribute the negative to the 9.8f to make it -9.8f, and the 7 to make it -7.
(-9.8f + (-7)) = -9.8f - 7
Solve for x:
(x+4)
3
= 2.
O a
X = -2
Ob
b =
hox=2
Ос
X=
WIN
Od
10
X=
1
3
Step-by-step explanation:
(x+4)3=2
3x+12=2
3x=-12+2
3x=-10
divide both sides by 3
x=-10/3
what is the value of k?
Answer:
k = 10
Step-by-step explanation:
∡ZYX = 180° - 115° = 65° (angles in a line add up to 180°)
*∡ stands for angle.
∑ of ∡Z , Y and X should be equal to 180° (angles in a triangle add up to 180°)
∴ (4k + 5)° + 65° + (6k + 10)° = 180°
10k + 80 = 180
10k = 100
k = 100 ÷ 10 = 10
they were 42 mangoes in each crate. 12 such crates of mangoes were delivered to a factory. 4 mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of 10 mangoes each. How many boxes of mangoes were there?
Answer: 50
Step-by-step explanation: 42x12=504. 504-4=500. 500/10=50.
if 17% of a certian num mber of mangoes is egual to 1360 then find total number of mangoesf
Answer:
If you're trying to find the whole number from a percentage of the number, divide the number by its percent: 1360/17%= 8000. The total number of mangoes is 8000.
Step-by-step explanation:
Answer:
[tex]\boxed{\bold{\huge{\boxed{\sf x = 8000 \ mangoes}}}}[/tex]
Step-by-step explanation:
Let the number be x
The given condition is:
=> 17 % of x = 1360
=> [tex]\sf \frac{17}{100} * x = 1360[/tex]
Multiplying both sides by [tex]\frac{100}{17}[/tex]
=> [tex]\sf x = \frac{136000}{17}[/tex]
=> x = 8000
So, total number of mangoes is 8000.
mathematics algebra
Answer:
⇒ [tex]1\frac{1}{3}m-1\frac{1}{2}n-4\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{4m}{3}-\frac{3(n+3)}{2}[/tex] [tex]\frac{4m}{3}-\frac{3n+9}{2}[/tex] [tex]\frac{4m}{3}-\frac{3n}{2}-\frac{9}{2}[/tex] [tex]1\frac{1}{3}m-1\frac{1}{2}n-4\frac{1}{2}[/tex]Answer:
i doubt you still need the answer but first step is to create like demononators
Step-by-step explanation:
Elena drank 3 liters of water yesterday. Java drank 3/4 time as much water as Elena. Line drank twice as much as much water as jada. Did Line drank more or less water than Elena
a rectangle with sides of length n+2 and n is compared to a square with sides of length n+1 are the two shapes equal in perimeter?
Answer:
yes
Step-by-step explanation:
Both of the figures have the same perimeter (4n + 4) hence equal in perimeter,
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know the perimeter of a rectangle is 2(length + width) and the perimeter of a square is 4×side.
Given, A rectangle with sides of length n+2 and n.
∴ Perimeter = 2((n + 2) + n)
= 2(2n + 2).
= 4n + 4.
Also given, A square with sides of length n + 1.
∴ Perimeter = 4(n + 1).
= 4n + 4.
So, yes the two shapes are equal in the perimeter.
learn more about rectangles here :
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